Question

Find the kinetic energy of a body of a mass 1kg moving with uniform velocity of 10m/s​

Answer 1

$\large{\bf{\gray{\underline{\underline{\orange{Given:}}}}}}$

Mass of body = 1kg

Velocity of body = 10m/s

$\large{\bf{\gray{\underline{\underline{\green{To\:Find:}}}}}}$

We have to find kinetic energy of body.

$\large{\bf{\gray{\underline{\underline{\pink{Solution:}}}}}}$

✭ Kinetic energy of body of mass m moving with velocity v is given by

• KE = 1/2 × mv²

➠ Energy is a scalar quantity having only magnitude.

➠ SI unit : Joule (J)

➠ Dimension formula : [M¹L²T$^{-2}]$

Let's calculate :D

➝ KE = 1/2 × mv²

➝ KE = 1/2 × 1(10)²

➝ KE = 1/2 × 100

➝ KE = 50J

Answer 2

Given ,

A body of a mass 1 kg moving with uniform velocity of 10 m/s

As we know that ,

The amount of energy stored in an object due to its motion is called kinetic energy

Mathematically ,

$\boxed{ \sf{Kinetic \: energy \: (KE) = \frac{1}{2}m {(v)}^{2} }}$

Thus ,

Kinetic energy = 1/2 × 1 × (10)²

Kinetic energy = 100/2

Kinetic energy = 50 J

∴ The kinetic energy of a body is 50 J